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Bounded mild solutions of perturbed Volterra equations with infinite delay

✍ Scribed by Sebastián Calzadillas; Carlos Lizama

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
313 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis

We study existence and regularity of bounded mild solutions on the real line to perturbed integral equations with infinite delay in the space of almost periodic functions (in the Bohr sense), the space of compact almost automorphic functions, the space of almost automorphic functions and the space of asymptotically almost automorphic functions.

📜 SIMILAR VOLUMES

Solutions of Volterra integral equations
Solutions of Volterra integral equations with infinite delay
✍ Daniel Franco; Donal O'Regan 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 157 KB

## Abstract We present several new existence results for a Volterra integral equation with infinite delay. We discuss periodic and bounded solutions. Sufficient conditions for the existence of positive periodic solutions are also provided. The techniques we employ have not been used for this equati